---
title: "Graphiant NAT Conflict Free IP Patent Summary"
slug: "graphiant-nat-conflict-free-ip-patent-summary"
description: "Explore Graphiant’s patented approach to resolving overlapping IP address conflicts without complex network renumbering."
updated: 2026-05-07T06:23:17Z
published: 2026-05-07T06:23:17Z
canonical: "docs.graphiant.com/graphiant-nat-conflict-free-ip-patent-summary"
---

> ## Documentation Index
> Fetch the complete documentation index at: https://docs.graphiant.com/llms.txt
> Use this file to discover all available pages before exploring further.

# Graphiant NAT Conflict Free IP Patent Summary

**Network Address Translation with In-Band Return Path Resolution - US Patent No. 11,695,690**

The patent describes a system for managing network address translation (NAT) that enhances the efficiency and security of a data exchange environment that eliminate IP conflicts and unsecured exchange of internal addressing information for packet routing. The innovation specifically focuses on return path resolution for data packets in a NAT-enabled network environment.

**Key Points:**

1. **NAT-Enabled Router**: The method involves a NAT-enabled router that processes incoming and outgoing data packets. When a forward packet is received, the router records security association data and routing identifiers in a routing table.
2. **Return Path Resolution**: For a return packet, the router uses the pre-recorded security association data to determine the correct return path to the destination. This ensures that the return packet follows the same path as the forward packet, maintaining consistency and security in the data flow.
3. **Security Association Data**: This data is crucial for identifying the return path and includes information such as encryption keys and routing identifiers. It is recorded when the forward packet is received, ensuring that the return path is uniquely associated with the forward path.
4. **Efficient Routing**: By resolving the return path based on pre-recorded data, the system reduces the need for additional routing decisions, enhancing the efficiency of the network. This method minimizes latency and ensures that packets are routed accurately and securely.
5. **Implementation**: The system can be implemented in various network environments, including enterprise networks and service provider networks. It supports secure and efficient communication between different network segments.

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